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Finding the Fourth Proportional to 761.09, 1,144.25 and 704.03

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Solution

The fourth proportional to 761.09, 1,144.25 and 704.03 is: 1,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.09 : 1,144.25 = 704.03 : x
  2. Step 2: Convert to fraction form
    761.09/1,144.25 = 704.03/x
  3. Step 3: Cross multiply
    761.09x = 1,144.25 × 704.03
  4. Step 4: Simplify right side
    761.09x = 805,578.46
  5. Step 5: Solve for x
    x = 805,578.46/761.09
  6. Step 6: Final answer
    x = 1,058.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.